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All holographic systems have scar states
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abstract
Scar states are special finite-energy density, but non-thermal states of chaotic Hamiltonians. We argue that all holographic quantum field theories, including $\mathcal{N}=4$ super Yang--Mills, have scar states. Their presence is tied to the existence of non-topological, horizonless soliton solutions in gravity: oscillons and a novel family of excited boson stars. We demonstrate that these solutions have periodic oscillations in the correlation functions and posses low-entanglement entropy as expected for scar states. Also we find that they can be very easily prepared with Euclidean path integral.
Forward citations
Cited by 3 Pith papers
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Size Operator and Spectral Clustering in the Two Coupled SYK Model
The finite-N spectrum of the two coupled SYK model organizes into operator-size clusters that underlie the conformal towers, revival dynamics, and wormhole-black hole transition.
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From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States
In holographic confining backgrounds, temporal peak statistics of boundary correlators after local quenches approach the Gaussian Symplectic Ensemble for heavy operators and, in capped BTZ, even for massless ones.
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Complexity of PXP scars revisited
In the PXP model, the arch in the Lanczos coefficients is traced to a linear sl(3) part of the Hamiltonian, and the arch width is proposed as a signal distinguishing scarred from thermalizing states.
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